高斯随机域最大值的几乎处处中心极限定理

Almost Sure Limit Theorem for Maximum Gaussian Random Fields

利用高斯随机域加权和的中心极限定理和矩不等式,得到权重为λdk=∏ i=1ddki,dki=ki-1exp{lnβki},0≤β<1/2时高斯随机域最大值的几乎处处中心极限定理.

With the aid of Gaussian fields central limit theorem of weighted sums and the moment inequality,an almost sure limit theorem with weight λdk=∏ i=1ddki,dki=ki-1exp{lnβki},0≤β1/2 was obtained for the maximum of stationary Gaussian fields.